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Finding the Fourth Proportional to 8,474.64, 12,712.08 and 3,212.09

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Solution

The fourth proportional to 8,474.64, 12,712.08 and 3,212.09 is: 4,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.64 : 12,712.08 = 3,212.09 : x
  2. Step 2: Convert to fraction form
    8,474.64/12,712.08 = 3,212.09/x
  3. Step 3: Cross multiply
    8,474.64x = 12,712.08 × 3,212.09
  4. Step 4: Simplify right side
    8,474.64x = 40,832,281.49
  5. Step 5: Solve for x
    x = 40,832,281.49/8,474.64
  6. Step 6: Final answer
    x = 4,818.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.